413323222312 has 256 divisors, whose sum is σ = 1053803520000. Its totient is φ = 146762357760.

The previous prime is 413323222243. The next prime is 413323222399. The reversal of 413323222312 is 213222323314.

It is a super-2 number, since 2×413323222312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313360389 + ... + 313361707.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420000).

Almost surely, 2^413323222312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413323222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760000).

413323222312 is an abundant number, since it is smaller than the sum of its proper divisors (640480297688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413323222312 is a wasteful number, since it uses less digits than its factorization.

413323222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1820 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

Adding to 413323222312 its reverse (213222323314), we get a palindrome (626545545626).

The spelling of 413323222312 in words is "four hundred thirteen billion, three hundred twenty-three million, two hundred twenty-two thousand, three hundred twelve".